The Numerical Treatment of Differential Equations

Collatz, Lothar

ISBN 10: 3540035192 / ISBN 13: 9783540035190

Published by Springer-Verlag, 1966

About this Item

Springer-Verlag, 1966. 3d Edition, 2d Printing. XVI+568 pages. Fine Hardcover. Light Sunning of the spine otherwise the book is as New.9.25x6.25x1.25 inches. be41.

Seller Inventory # b1569

Bibliographic Details

• Title: The Numerical Treatment of Differential Equations
• Publisher: Springer-Verlag
• Publication Date: 1966
• Language: English
• ISBN 10: 3540035192
• ISBN 13: 9783540035190
• Binding: Hardcover
• Edition: 3rd Edition
• Condition: Fine

About this title

Synopsis

This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydro­ dynamics, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circle of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathe­ matical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly.